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theorem proved term proof

simulation_unprovable

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formal statement (Lean)

  85theorem simulation_unprovable :
  86    ∀ u : RSUniverse, ¬ (∀ (outer : RSUniverse), ∀ n, outer.events n ≠ u.events n) := by

proof body

Term-mode proof.

  87  intro u h
  88  -- Take outer = u itself
  89  have := h u
  90  -- Then for all n, u.events n ≠ u.events n — contradiction
  91  exact absurd rfl (this 0)
  92
  93/-- **THEOREM IC-004.4**: Any "external outer-universe" that contains the RS universe
  94    as a simulation must have the same type as an RS universe.
  95    The simulation/reality distinction collapses. -/

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